The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .
Step-by-step explanation:
sorry i couldn't solve the last and the last second one
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Answer:
5th term: 20
6th term: 23
Step-by-step explanation:
T5=3n+5
T5=3(5)+5
T5=15+5
T5=20.
T6=3n+5
T6=3(6)+5
T6=18+5
T6=23
T5= 20
T6= 23
X=12. So this one says that it has 3 congruent sides so therefore it has to have 3 congruent angles. Here we have angle 2 and we have angle 60. Given the definition of triangle congruence, we can say that 60 is angle 2 and that the third angle is also 60 but it’s not relevant in this problem. So knowing that angle 2 is 4x+12 we solve for x by seeding that equal to 60 and then solving for x we get x=12. Hope this helps!!!!
The area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
<h3>How to Calculate the Area of a Rectangle?</h3>
The area of a rectangle is calculated using:
Area = (length)(height).
We are given the following:
Length of rectangle ABCD = side DC = 4y - 5
Height of rectangle ABCD = side AD = 2y
The area of rectangle ABCD = (length)(height) = (4y - 5)(2y).
Expand the expression
The area of rectangle ABCD = 2y(4y) - 2y(5) [distributive property of multiplication]
The area of rectangle ABCD = 8y^2 - 10y
Thus, the area of rectangle ABCD can be expressed in simplified form as: 8y^2 - 10y.
Learn more about area of rectangle on:
brainly.com/question/25292087
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